LOOPE: Learnable Optimal Patch Order in Positional Embeddings for Vision Transformers
This addresses a fundamental challenge in Vision Transformers for computer vision researchers, offering a more sensitive diagnostic tool and improved embeddings, though it appears incremental as it builds on existing positional embedding methods.
The paper tackles the problem of patch ordering in positional embeddings for Vision Transformers, proposing LOOPE, a learnable method that optimizes spatial representation, which improves classification accuracy across ViT architectures. It also introduces the 'Three Cell Experiment' benchmarking framework, revealing a 30-35% performance gap between models with and without positional embeddings, compared to the typical 4-6%.
Positional embeddings (PE) play a crucial role in Vision Transformers (ViTs) by providing spatial information otherwise lost due to the permutation invariant nature of self attention. While absolute positional embeddings (APE) have shown theoretical advantages over relative positional embeddings (RPE), particularly due to the ability of sinusoidal functions to preserve spatial inductive biases like monotonicity and shift invariance, a fundamental challenge arises when mapping a 2D grid to a 1D sequence. Existing methods have mostly overlooked or never explored the impact of patch ordering in positional embeddings. To address this, we propose LOOPE, a learnable patch-ordering method that optimizes spatial representation for a given set of frequencies, providing a principled approach to patch order optimization. Empirical results show that our PE significantly improves classification accuracy across various ViT architectures. To rigorously evaluate the effectiveness of positional embeddings, we introduce the "Three Cell Experiment", a novel benchmarking framework that assesses the ability of PEs to retain relative and absolute positional information across different ViT architectures. Unlike standard evaluations, which typically report a performance gap of 4 to 6% between models with and without PE, our method reveals a striking 30 to 35% difference, offering a more sensitive diagnostic tool to measure the efficacy of PEs. Our experimental analysis confirms that the proposed LOOPE demonstrates enhanced effectiveness in retaining both relative and absolute positional information.